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From PC's calulator it looks like a 144" diagonal image would be the smallest for that distance.

Also they come up with 11fL of brightness at the screen. Keep in mind that thier calculator factors in 25% bulb age.

You are right on the cusp of needing a touch more gain. You can get away with a 1.0 gain screen but in your situation I would probably go with something around 1.2 or so just to cover the bases.

You didn't mention what your lighting conditions will be like when using the projector, are we talking total lights out viewing with no abient light issues or will there be some room lighting on or light from adjacent rooms?
 

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You're not going to like hearing this, but your particular setup will not work with with any amount of ambient lighting more than very minor mood lighting. Even at that, mood lighting is going to have an impact. Sorry but forget about daytime viewing unless you can completely kill the ambient sunlight.

12fL is the min recommended for a total lights out dedicated room viewing setup and you're just under that. Introduce any lighting and your image is going to wash out real fast.

Behr UPW is a good basic white screen, but it's not going to have the gain you want or need, and neither is BOC. You're definitely going to need a more advanced application that has some gain or look at some commercial screens that are dialed in to the specs you need. You need a white screen or an N9 screen max with around a 1.3 gain minimum. We'll get a list of options for you :)
 
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